Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/447, 661/918, 642/204 quickly i.e. 3536350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/447, 661/918, 642/204 is 3536350.
LCM(25/447, 661/918, 642/204) = 3536350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/447,661/918,642/204
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 25,661,642
Least Common Multiple of Numerators i.e. LCM of 25,661,642 is 10609050.
GCF of Denominators means GCF of 447,918,204 as per the given fractions.
GCF of 447,918,204 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,661,642
Given numbers has no common factors except 1. So, there LCM is their product i.e 10609050
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 25,661,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,661,642) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,661,642) x common factors =1 x 1 = 1
LCM(25,661,642) = ( 25 × 661 × 642 ) / 1
LCM(25,661,642) = 10609050 / 1
LCM(25,661,642) = 10609050
Lets's calculate GCF of 447,918,204
3 | 447, 918, 204 |
149, 306, 68 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10609050/3
Therefore the LCM of Fractions 25/447,661/918,642/204 is 3536350
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 447,918,204 . The biggest common factor number is the GCF number.
So the greatest common factor 447,918,204 is 3.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 25/447, 661/918, 642/204?
Answer: LCM of Numerators as per given numbers 25/447, 661/918, 642/204 is
LCM of Numerators i.e. for 25,661,642 is 10609050
GCF of denominators i.e. for 447,918,204 is 3.
Thus, LCM of Fractions is 3536350.Finally, LCM of Fractions for 25/447, 661/918, 642/204 is 3536350.